{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么是Matolotlib?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib是Python的一个绘图库。 它包含了大量的工具，你可以使用这些工具创建各种图形，包括简单的散点图，正弦曲线，甚至是三维图形。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 画一个简单的图形\n",
    "首先画一条在[0,2pi]上的正弦曲线。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.12822827, 0.25645654, 0.38468481, 0.51291309,\n",
       "       0.64114136, 0.76936963, 0.8975979 , 1.02582617, 1.15405444,\n",
       "       1.28228272, 1.41051099, 1.53873926, 1.66696753, 1.7951958 ,\n",
       "       1.92342407, 2.05165235, 2.17988062, 2.30810889, 2.43633716,\n",
       "       2.56456543, 2.6927937 , 2.82102197, 2.94925025, 3.07747852,\n",
       "       3.20570679, 3.33393506, 3.46216333, 3.5903916 , 3.71861988,\n",
       "       3.84684815, 3.97507642, 4.10330469, 4.23153296, 4.35976123,\n",
       "       4.48798951, 4.61621778, 4.74444605, 4.87267432, 5.00090259,\n",
       "       5.12913086, 5.25735913, 5.38558741, 5.51381568, 5.64204395,\n",
       "       5.77027222, 5.89850049, 6.02672876, 6.15495704, 6.28318531])"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 导入模块,from xx import xx是一种糟糕的导入方式，避免使用\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.linspace(0,2*np.pi,50)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plt.plot(np.sin(x)) \n",
    "plt.plot(x,np.sin(x)) # 如果没有第一个参数x，图形的x坐标默认为数组的索引\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lL8T5KsrTYDy1eS+v7D/Ss/4xTUWaGwo0xY9iPF2kqVjonRfSlz63rWf948c00txQpFiwnkfBoKFQoLEh1KViuqFQ4KH123s+i9NPaaK5oUDB+s/fUIjqeWz+xorPJ65zYx/bMspvPLDmlbAvweljmo7bdvHn3FDxuqHYm770uSh/wWD8Mfkb4/U09H7elWVrbCj0jIorFozxYxqP+6yj1wn5iwWWPBflbywap41uZHRT/DkVez7D5obez605fI7xvDvDvt/UUOC00Y00FsI+H/b7QsU2OHZ/aiwWeHBdtP1HNRYY29wYtlVU/p5tPYDyj2kqckpzQ1gueX8/6rOp2H6nNBUZk5C/8rNIyn9qcwOjwrYb6LHXVSrzcOhTPHVUA2OaioxqPHr7NsbHTPH4Y2r7/o6e/TfOf+x3T+8+17veeH96cddrvLQr+u5Y8TcXcvbrRg36+y/a922Vu7f2t9xIO5NoByZXvJ4EHNez6+7zgfkAra2tqaLcNy5+S0+QeO5blwy+oHsO8YFbH6W5ocBz3xx8/me37GXWHf9By1ljWf6NDw06/y+f3cpXfvY0H5l+Nv/7qn4/5+Pcs2Iz19+3hk+8dyK3f+o9g84/bkwj//hIG1/68B9x7cy3DTr/1xc+zf99Zivf/Yt38ukZUwad/+P/9Bir2/ex6IvvZ8a00wed/z03PsjeQ108+PUP0nL2qYPOP3XeEgB+f126g3TJ6ij/mm9ekqrZY0lY//M3XZqqXygOEhtumpmqbTuu//ob0+WPy7/uxpmDzgu9229txvxpjv3XOrp5xw3Lovwpjv0tuw/x0PrtnNrckCr/yk27ueJHv+edE09LHSAGY6T1STwJtJjZNDNrAmYDi4diRVlvTNcdmjzOel1zqvz7j0Sn3BNOzZb/jFOaUuWPby42bkxjqvzxWcQbxo1OlX/XwWz547+OPDvl9t8bmsvOyniQpd3+sbTt4rG0AwdiWTs/6+WPd/qSdtBJfOxOHJ/22Imuj3j9aUMfIGCEnUm4e7eZfRlYBhSBu9x97VCsK9630x5k8eikppQjHDpCu3D6ju+oXfiUlJ1fcedh2o7vUgiSDRm3X9oDLR7hkXaESSxt52cs6/olPxNT/kAphSb65oaUx07Pvptu3+8Kx17a757BGlFBAsDdlwJLh2t9aX+I9Q7hzPhLLGU+7xkrnS7/Z897I09s2sMXPjAtVf5CWHHaHTXrWO+swwhjed3q/Jdf/gAv1fgVx7Vs0Rffz5smnJIqb7zPf+a8wTeTQsXw8Yz7/nCdxI24IDHc0n7JZ71iOOtwgaw7yPhTmrj7CzNS57925lsZ01TkP737DanyZ73ivVr/Z5FXa8k7J53GOyedljr/Y9f+ec38H8FIlKYfKzaqscjzN81M/QMp7ke44G1npy4DDN/FdHUfJManbJOvllpt0h03pon/8bH01zl+snUyT27aw7Qz0/2ay3prg1iNbn4mjR+TKf9Pr56hCxEzSNtMDFE/3BPXX8iZp6TrT6vWWfRA1W2QGNVY5KbL/5gPtUxIlT++k2Otfsnn7crWyVzZOrn/BRNkPZOL1WvH65+l3O+lOs46NX2n83nTzgDgs+e/sVrFOaG6DRIAn8uwkbM2d4yk61Nq0Zljm9h1sCP76J4qlafe/P2V7848skvSecO40Wy65aPDtr66DhJZxO2BaW/r0UtfU2n85PMz+M0fdnDG2HSn7LE6PZHI7Ir3Tcq7CDJMFCRSesvZY/nqhS186k/SN5lkUe8nIq8/bRSf+pN0o0sq1Wtzk8hAKUikZGZ84yNvybsY+pITkSGlK4FqnPo2pFb9WcuZeRdBBkBnEjnJ+zoJkTy98J3L1BtXI3QmkTN92efjrSlu6ifVUwx3nZWRT2cSOVErUb4Wzj2fzSn/1U+knihI5Ey/pfIx/pQmxmucv0i/1NyUk7iZSc1NIjKS6UwiJxe87Sw+e94UvnZhS6r8aq4SkeGgIJGTxmKBmz/xzszvo+skRGQoqbmpxuk6CREZSgoSNUonECIyHBQkREQkkYKEiIgkUpAQEZFEChI1Sv3VIjIcFCRqnIbAishQUpCocRoCKyJDSRfT1SidQEg9e++UcXyyNZ9/haw3ChIiUnPu+6s/zbsIdUPNTSIikihTkDCzK81srZmVzaz1mHnXmVmbmW0ws0sq0meGtDYzm1eRPs3MVpjZRjP7uZnpPs4iIjnLeiaxBvgL4LeViWY2HZgNvAOYCfzAzIpmVgTuAC4FpgOfDssC3Arc7u4twB7g6oxlO6mpv1pEhkOmIOHu6919Qx+zZgEL3b3D3V8C2oAZ4dHm7i+6eyewEJhl0TjOC4B7Q/4FwOVZylYvNARWRIbSUPVJTAS2VLxuD2lJ6WcAe929+5h0ERHJUb+jm8zsIeD1fcy63t3vT8rWR5rTd1DyEyyfVKa5wFyAKVOmJC1WF3SdhIgMpX6DhLtflOJ924HKQcyTgK1huq/0XcA4M2sIZxOVy/dVpvnAfIDW1ta6/JZUK5OIDIeham5aDMw2s2Yzmwa0AE8ATwItYSRTE1Hn9mKPfg4/ClwR8s8Bks5SRERkmGQdAvsJM2sH3g8sMbNlAO6+FlgErAP+DbjG3UvhLOHLwDJgPbAoLAtwLfANM2sj6qO4M0vZREQku0xXXLv7fcB9CfNuBm7uI30psLSP9BeJRj+JiMgIoSuua5T6q0VkOChI1DhdJyEiQ0lBQkREEilI1DhdJyEiQ0m3Cq9RamXK10Pf+BCbdr2WdzFEhpyChEgKbz5rLG8+a2zexRAZcmpuEhGRRAoSNUpdESIyHBQkapyGwIrIUFKQEBGRRAoSIiKSSEGixuk6CREZSgoSNUpdESIyHBQkREQkkYJEjVIrk4gMBwWJGqchsCIylBQkREQkkYKEiIgkUpAQEZFEChI1TtdJiMhQUpCoUeqvFpHhoCAhIiKJFCRqlFqZRGQ4KEjUOF0nISJDSUFCREQSKUiIiEiiTEHCzG4zs+fNbLWZ3Wdm4yrmXWdmbWa2wcwuqUifGdLazGxeRfo0M1thZhvN7Odm1pSlbCIikl3WM4nlwB+7+7uAPwDXAZjZdGA28A5gJvADMyuaWRG4A7gUmA58OiwLcCtwu7u3AHuAqzOWrS7oOgkRGUqZgoS7P+ju3eHl48CkMD0LWOjuHe7+EtAGzAiPNnd/0d07gYXALIt6Xy8A7g35FwCXZynbyU791SIyHKrZJ/EF4IEwPRHYUjGvPaQlpZ8B7K0IOHG6JNAJhIgMh4b+FjCzh4DX9zHrene/PyxzPdAN3BNn62N5p++g5CdYPqlMc4G5AFOmTEksez3QEFgRGUr9Bgl3v+hE881sDvAx4ELvbSBvByZXLDYJ2Bqm+0rfBYwzs4ZwNlG5fF9lmg/MB2htbdVvahGRIZJ1dNNM4Frg4+5+qGLWYmC2mTWb2TSgBXgCeBJoCSOZmog6txeH4PIocEXIPwe4P0vZREQku37PJPrxT0AzsDw0ezzu7n/p7mvNbBGwjqgZ6hp3LwGY2ZeBZUARuMvd14b3uhZYaGbfBp4G7sxYNhERyShTkHD3N59g3s3AzX2kLwWW9pH+ItHoJxERGSF0xXWN03USIjKUFCRERCSRgkSN0xBYERlKChIiIpJIQUJERBIpSIiISCIFCRERSaQgISIiiRQkapyukxCRoaQgISIiiRQkapyukxCRoaQgISIiiRQkREQkkYKEiIgkUpAQEZFEChIiIpJIQUJERBIpSIiISCIFCRERSaQgISIiiRQkREQkkYKEiIgkUpAQEZFEChI1qrFYCM+6wZ+IDJ2GvAsg6XzmvCls33+Ev/rwm/MuioicxBQkatSoxiLXXfb2vIshIie5TM1NZnaTma02s2fM7EEze0NINzP7vpm1hfnnVuSZY2Ybw2NORfr7zOy5kOf7pj9KEBHJXdY+idvc/V3u/h7gV8DfhvRLgZbwmAv8EMDMTgduAM4DZgA3mNn4kOeHYdk438yMZRMRkYwyBQl331/x8hQg/sPlWcDdHnkcGGdm5wCXAMvdfbe77wGWAzPDvNe5++89+tPmu4HLs5RNRESyy9wnYWY3A1cB+4A/D8kTgS0Vi7WHtBOlt/eRLiIiOer3TMLMHjKzNX08ZgG4+/XuPhm4B/hynK2Pt/IU6UllmmtmK81s5c6dO/urgoiIpNTvmYS7XzTA9/pnYAlRn0M7MLli3iRga0j/8DHpvw7pk/pYPqlM84H5AK2trYnBREREssk6uqml4uXHgefD9GLgqjDK6Xxgn7tvA5YBF5vZ+NBhfTGwLMw7YGbnh1FNVwH3ZymbiIhkl7VP4hYzeytQBjYDfxnSlwKXAW3AIeDzAO6+28xuAp4My93o7rvD9JeAnwCjgQfCQ0REcmTRYKLaZWY7iQJUGmcCu6pYnDydLHU5WeoBqstIdbLUJWs93ujuE/pbqOaDRBZmttLdW/MuRzWcLHU5WeoBqstIdbLUZbjqoRv8iYhIIgUJERFJVO9BYn7eBaiik6UuJ0s9QHUZqU6WugxLPeq6T0JERE6s3s8kRETkBOoySKS5xflIZGa3mdnzoaz3mdm4innXhXpsMLNL8iznQJjZlWa21szKZtZ6zLyaqguAmc0M5W0zs3l5l2cwzOwuM9thZmsq0k43s+XhFv/LK+7ePGKZ2WQze9TM1od962shvRbrMsrMnjCzZ0NdvhXSp5nZilCXn5tZU9VX7u519yC642w8/VXgR2H6MqKL+Aw4H1iRd1n7qcfFQEOYvhW4NUxPB54FmoFpwAtAMe/y9lOXtwNvJbpNS2tFei3WpRjK+SagKZR/et7lGkT5PwicC6ypSPs7YF6YnhfvayP5AZwDnBumTwX+EPanWqyLAWPDdCOwInxHLQJmh/QfAV+q9rrr8kzCB3+L8xHJ3R909+7w8nF67381C1jo7h3u/hLRle8z8ijjQLn7enff0MesmqsLUfna3P1Fd+8EFhLVoya4+2+B3cckzwIWhOkF1MCt/N19m7s/FaYPAOuJ7i5di3Vxdz8YXjaGhwMXAPeG9CGpS10GCYhucW5mW4DP0vtnSUm3Mq8FX6D3Via1XI9j1WJdarHM/Tnbo3usEZ7Pyrk8g2JmU4H3Ev0Cr8m6mFnRzJ4BdhD9F88LwN6KH4pDsp+dtEGiyrc4z01/9QjLXA90E9UFRmA9YGB16StbH2m516UftVjmk5aZjQV+AXz9mFaEmuLuJY/+BXQS0dlqX39yX/X9LPOfDo1UXt1bnOemv3pY9D/hHwMu9NAwyQisBwzqM6k0IuvSj1osc3+2m9k57r4tNMHuyLtAA2FmjUQB4h53/9eQXJN1ibn7XjP7NVGfxDgzawhnE0Oyn520ZxInkuIW5yOSmc0ErgU+7u6HKmYtBmabWbOZTSP6z/An8ihjFdRiXZ4EWsLIkyZgNlE9atliYE6YnkMN3Mo//O3AncB6d/9exaxarMuEePSimY0GLiLqY3kUuCIsNjR1ybvXPo8H0S+LNcBq4JfARO8dQXAHUVvfc1SMshmJD6JO3C3AM+Hxo4p514d6bAAuzbusA6jLJ4h+gXcA24n+Z6Qm6xLKfBnRaJoXgOvzLs8gy/4zYBvQFT6Tq4EzgIeBjeH59LzLOYB6fICo+WV1xTFyWY3W5V3A06Eua4C/DelvIvrR1Ab8C9Bc7XXrimsREUlUl81NIiIyMAoSIiKSSEFCREQSKUiIiEgiBQkREUmkICEiIokUJEREJJGChIiIJPr/GU5/8UKUYgwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tan_x = np.arange(-30,30,0.01)\n",
    "tan_y = np.tan(tan_x)\n",
    "plt.plot(tan_x,tan_y) \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上面的代码将画出一个简单的正弦曲线。  \n",
    "np.linspace(0,2*np.pi,50)这段代码将会生成一个包含50个元素的数组，这50个元素均匀分布在[0,2pi]的区间上。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "plot命令以一种简洁优雅的方式创建了图形。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 在一张图上绘制多个数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 导入模块,from xx import xx是一种糟糕的导入方式，避免使用\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.linspace(0,2*np.pi,50)\n",
    "plt.plot(x,np.sin(x),'r--', \n",
    "         x,np.sin(2*x))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上面的代码同时绘制了表示函数sin(x)和sin(2x)的图形。  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,np.cos(x),'y--',\n",
    "         x,np.cos(2*x))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上面的代码同时绘制了表示函数cos(x)和cos(2x)的图形。  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 自定义图形的外观\n",
    "当在同一个图形上展示多个数据集时，通过改变线条的外观来区分不同的数据集变得尤为重要。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 自定义曲线的外观\n",
    "x = np.linspace(0,2*np.pi,50)\n",
    "plt.plot(x,np.sin(x),'r-o',\n",
    "        x,np.cos(x),'g-^')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "两种不同的曲线样式：\"r-o\"和\"g-^\"。  \n",
    "字母r和g代表线条的颜色，后面的符号代表线条和点标记的类型。  \n",
    "例如：\"-o\"代表包含实心点标记的实线，\"--\"代表虚线。  \n",
    "**颜色：**    \n",
    "- 蓝色 \"b\"  \n",
    "- 绿色 \"g\"  \n",
    "- 红色 \"r\"  \n",
    "- 黄色 \"y\"  \n",
    "- 黑色 \"k\"  \n",
    "- 白色 \"w\"  \n",
    "**线段：**   \n",
    "- 直线 \"-\"  \n",
    "- 虚线 \"--\"  \n",
    "- 点线 \":\"  \n",
    "- 点划线 \"-.\"  \n",
    "\n",
    "**常用点标记：**  \n",
    "- 点 \".\"  \n",
    "- 像素 \",\"  \n",
    "- 圆 \"o\"    \n",
    "- 方形 \"s\"  \n",
    "- 三角形 \"^\"  \n",
    "\n",
    "更多标记样式参考：  \n",
    "http://matplotlib.org/api/markers_api.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用子图"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用子图可以在一个窗口绘制多张图。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 导入模块,from xx import xx是一种糟糕的导入方式，避免使用\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 使用子图\n",
    "x = np.linspace(0, 2*np.pi, 50)\n",
    "\n",
    "plt.subplot(2, 1, 1) # (行，列，活跃区)\n",
    "plt.plot(x, np.sin(x), 'r')\n",
    "\n",
    "plt.subplot(2, 1, 2)# (行，列，活跃区)\n",
    "plt.plot(x, np.cos(x), 'g--')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用子图只需要一个额外的步骤，就可以像前面的例子一样绘制数据集。  \n",
    "即在调用plot()函数之前需要先调用subplot()函数。 该函数的第一个参数代表子图的总行数，第二个参数代表子图的总列数，第三个参数代表活跃区域。 \n",
    "\n",
    "活跃区域代表当前子图所在绘图区域，绘图区域按从左至右，从上至下的顺序编号。例如在4*4方格上，活跃区域6在方格上的坐标为(2,2)。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 散点图\n",
    "### 简单的散点图\n",
    "散点图是一堆离散点的集合。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(*args, **kw)>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 导入模块,from xx import xx是一种糟糕的导入方式，避免使用\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 简单的散点图\n",
    "x = np.linspace(0, 2*np.pi, 50)\n",
    "y = np.sin(x)\n",
    "plt.scatter(x, y)\n",
    "plt.show"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "只需要调用scatter()函数并分别传入代表x坐标和y坐标的数组，就可以绘制散点图。  \n",
    "**注意：**    \n",
    "通过plot命名并将线的样式设置为\"bo\"也可以实现同样的效果。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 彩色映射散点图\n",
    "我们会根据数据的大小给每个点赋予不同的颜色和大小，并在图中添加一个颜色栏。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 彩色映射散点图\n",
    "x = np.random.rand(1000) # 生成1000个随机样本分布在[0,1)区间\n",
    "y = np.random.rand(1000)\n",
    "\n",
    "size = np.random.rand(1000)*50\n",
    "colour = np.random.rand(1000)\n",
    "plt.scatter(x, y, size, colour)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function scatter in module matplotlib.pyplot:\n",
      "\n",
      "scatter(x, y, s=None, c=None, marker=None, cmap=None, norm=None, vmin=None, vmax=None, alpha=None, linewidths=None, verts=None, edgecolors=None, hold=None, data=None, **kwargs)\n",
      "    A scatter plot of *y* vs *x* with varying marker size and/or color.\n",
      "    \n",
      "    Parameters\n",
      "    ----------\n",
      "    x, y : array_like, shape (n, )\n",
      "        The data positions.\n",
      "    \n",
      "    s : scalar or array_like, shape (n, ), optional\n",
      "        The marker size in points**2.\n",
      "        Default is ``rcParams['lines.markersize'] ** 2``.\n",
      "    \n",
      "    c : color, sequence, or sequence of color, optional, default: 'b'\n",
      "        The marker color. Possible values:\n",
      "    \n",
      "        - A single color format string.\n",
      "        - A sequence of color specifications of length n.\n",
      "        - A sequence of n numbers to be mapped to colors using *cmap* and\n",
      "          *norm*.\n",
      "        - A 2-D array in which the rows are RGB or RGBA.\n",
      "    \n",
      "        Note that *c* should not be a single numeric RGB or RGBA sequence\n",
      "        because that is indistinguishable from an array of values to be\n",
      "        colormapped. If you want to specify the same RGB or RGBA value for\n",
      "        all points, use a 2-D array with a single row.\n",
      "    \n",
      "    marker : `~matplotlib.markers.MarkerStyle`, optional, default: 'o'\n",
      "        The marker style. *marker* can be either an instance of the class\n",
      "        or the text shorthand for a particular marker.\n",
      "        See `~matplotlib.markers` for more information marker styles.\n",
      "    \n",
      "    cmap : `~matplotlib.colors.Colormap`, optional, default: None\n",
      "        A `.Colormap` instance or registered colormap name. *cmap* is only\n",
      "        used if *c* is an array of floats. If ``None``, defaults to rc\n",
      "        ``image.cmap``.\n",
      "    \n",
      "    norm : `~matplotlib.colors.Normalize`, optional, default: None\n",
      "        A `.Normalize` instance is used to scale luminance data to 0, 1.\n",
      "        *norm* is only used if *c* is an array of floats. If *None*, use\n",
      "        the default `.colors.Normalize`.\n",
      "    \n",
      "    vmin, vmax : scalar, optional, default: None\n",
      "        *vmin* and *vmax* are used in conjunction with *norm* to normalize\n",
      "        luminance data. If None, the respective min and max of the color\n",
      "        array is used. *vmin* and *vmax* are ignored if you pass a *norm*\n",
      "        instance.\n",
      "    \n",
      "    alpha : scalar, optional, default: None\n",
      "        The alpha blending value, between 0 (transparent) and 1 (opaque).\n",
      "    \n",
      "    linewidths : scalar or array_like, optional, default: None\n",
      "        The linewidth of the marker edges. Note: The default *edgecolors*\n",
      "        is 'face'. You may want to change this as well.\n",
      "        If *None*, defaults to rcParams ``lines.linewidth``.\n",
      "    \n",
      "    verts : sequence of (x, y), optional\n",
      "        If *marker* is *None*, these vertices will be used to construct\n",
      "        the marker.  The center of the marker is located at (0, 0) in\n",
      "        normalized units.  The overall marker is rescaled by *s*.\n",
      "    \n",
      "    edgecolors : color or sequence of color, optional, default: 'face'\n",
      "        The edge color of the marker. Possible values:\n",
      "    \n",
      "        - 'face': The edge color will always be the same as the face color.\n",
      "        - 'none': No patch boundary will be drawn.\n",
      "        - A matplotib color.\n",
      "    \n",
      "        For non-filled markers, the *edgecolors* kwarg is ignored and\n",
      "        forced to 'face' internally.\n",
      "    \n",
      "    Returns\n",
      "    -------\n",
      "    paths : `~matplotlib.collections.PathCollection`\n",
      "    \n",
      "    Other Parameters\n",
      "    ----------------\n",
      "    **kwargs : `~matplotlib.collections.Collection` properties\n",
      "    \n",
      "    See Also\n",
      "    --------\n",
      "    plot : To plot scatter plots when markers are identical in size and\n",
      "        color.\n",
      "    \n",
      "    Notes\n",
      "    -----\n",
      "    \n",
      "    * The `.plot` function will be faster for scatterplots where markers\n",
      "      don't vary in size or color.\n",
      "    \n",
      "    * Any or all of *x*, *y*, *s*, and *c* may be masked arrays, in which\n",
      "      case all masks will be combined and only unmasked points will be\n",
      "      plotted.\n",
      "    \n",
      "    * Fundamentally, scatter works with 1-D arrays; *x*, *y*, *s*, and *c*\n",
      "      may be input as 2-D arrays, but within scatter they will be\n",
      "      flattened. The exception is *c*, which will be flattened only if its\n",
      "      size matches the size of *x* and *y*.\n",
      "    \n",
      "    .. note::\n",
      "        In addition to the above described arguments, this function can take a\n",
      "        **data** keyword argument. If such a **data** argument is given, the\n",
      "        following arguments are replaced by **data[<arg>]**:\n",
      "    \n",
      "        * All arguments with the following names: 'c', 'color', 'edgecolors', 'facecolor', 'facecolors', 'linewidths', 's', 'x', 'y'.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(plt.scatter)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上面的代码大量地用到了np.random.rand(1000),来随机产生绘图所用到的数据。  \n",
    "\n",
    "这次在scatter()函数中，我们传入了另外两个参数，分别为所绘点的大小和颜色。通过这种方式使得图上点的大小和颜色根据数据的大小产生变化。   \n",
    "\n",
    "最后我们用colorbar()函数添加了一个颜色栏。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 直方图\n",
    "直方图是另一种常见的图形，也可以通过几行代码创建出来。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.random.randn(1000)\n",
    "plt.hist(x, 50)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "只需要给 hist() 函数传入一个包含数据的数组。第二个参数代表数据容器的个数。  \n",
    "数据容器代表不同的值的间隔，并用来包含我们的数据。数据容器越多，图形上的数据条就越多。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 添加标题、坐标轴标记和图例\n",
    "x = np.linspace(0, 2*np.pi, 50)\n",
    "plt.plot(x, np.sin(x), 'r-x', label='sin(x)')\n",
    "plt.plot(x, np.cos(x), 'g-^', label='cos(x)')\n",
    "plt.legend() # 展示图例,即图中的线条样式说明\n",
    "\n",
    "plt.xlabel('rads') # 给x轴添加标签\n",
    "plt.ylabel('Amplitude') # 给y轴添加标签\n",
    "plt.title(\"Sin and Cos Waves\") # 给图形添加标题\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "为了给图形添加图例，我们需要在 plot() 函数中添加命名参数 'label' 并赋予该参数相应的标签。然后调用 legend() 函数就会在我们的图形中添加图例。  \n",
    "\n",
    "接下来我们只需要分别调用 xlabel(), ylabel()和title() 函数就可以为图形添加标签和标题。  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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